A TE-polarized uniform plane wave impinges with an incidence angle of π/4 radians on the plane x 1 = 0, separating air from a lossless dielectric medium. The reflection coefficient equals −0.5. Find...

A TE-polarized uniform plane wave impinges with an incidence angle of π/4 radians on the plane x₁
= 0, separating air from a lossless dielectric medium. The reflection coefficient equals −0.5.

Find the refractive index of the second medium, the reflection coefficient for a TM-polarized uniform plane wave coming along the same direction, and the reflection coefficients for a TE- and a TM-polarized plane wave coming from the second medium, and giving rise to refracted waves with a transmission angle (in air) equal to π/4 radians.